I study associative algebras, quiver representations, and cluster algebras. In particular, I am interested in cluster structures coming from Grassmannian and Richardson varieties, as well as combinatorics and representation theory of Jacobian algebras, friezes, maximal green sequences, and tau-tilting theory.


My Publications and Preprints

  • Anna Felikson, Oleg Karpenkov, Khrystyna Serhiyenko, Pavel Tumarkin, 3D Farey graph, lambda lengths and SL2-tilings, preprint arXiv:2306.17118.
  • Ralf Schiffler and Khrystyna Serhiyenko, On Gorenstein algebras of finite Cohen-Macaulay type: dimer tree algebras and their skew group algebras, preprint arXiv:2211.14580.
  • Khrystyna Serhiyenko and Melissa Sherman-Bennett, Leclerc’s conjecture on a cluster structure for type A Richardson varieties, preprint arXiv:2210.13302.
  • Matias von Bell, Benjamin Braun, Kaitlin Bruegge, Derek Hanely, Zachery Peterson, Khrystyna Sehiyenko, and Martha Yip, Triangulations of Flow Polytopes, Ample Framings, and Gentle Algebras, preprint arXiv:2203.01896.
  • Ralf Schiffler and Khrystyna Serhiyenko, A geometric model for syzygies over 2-Calabi-Yau tilted algebras II, to appear in IMRN, preprint arXiv:2110.09976.
  • Ralf Schiffler and Khrystyna Serhiyenko, A geometric model for syzygies over 2-Calabi-Yau tilted algebras, preprint arXiv:2106.06496.
  • Matias von Bell, Benjamin Braun, Derek Hanely, Khrystyna Serhiyenko, Julianne Vega, Andres R. Vindas-Melendez, and Martha Yip, Triangulations, order polytopes, and generalized snake posets, Comb. Theory 2 (2022), no. 3, Paper No. 10, 34 pp.
  • Alexander Garver and Khrystyna Serhiyenko, Maximal green sequences for string algebras, J. Comb. Algebra 6 (2022), no. 1, 45–78.
  • Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko, and Gordana Todorov, Friezes satisfying higher SL_k determinants, Algebra Number Theory 15 (2021), no. 1, 29–68.
  • Ana Garcia Elsener and Khrystyna Serhiyenko, Mutation of type D friezes, J. Combin. Theory Ser. A 176 (2020), 105282, 33 pp.
  • Khrystyna Serhiyenko, Melissa Sherman-Bennett, and Lauren Williams, Cluster structures in Schubert varieties in the Grassmannian, Proc. Lond. Math. Soc 119 (2019), no. 6, 1694–1744.
  • Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko, Gordana Todorov (2018) Conway–Coxeter Friezes and Mutation: A Survey. In: Deines A., Ferrero D., Graham E., Im M., Manore C., Price C. (eds) Advances in the Mathematical Sciences. AWMRS 2017. Association for Women in Mathematics Series , vol 15. Springer, Cham.
  • Alexander Garver, Thomas McConville, and Khrystyna Serhiyenko, Minimal length maximal green sequences, Adv. in Appl. Math. 96 (2018), 76–138.
  • Karin Baur, Eleonore Faber, Sira Gratz, Khrystyna Serhiyenko, and Gordana Todorov, Mutation of friezes, Bull. Sci. Math. 142 (2018), 1– 48.
  • Nicolas Ford and Khrystyna Serhiyenko, Green-to-red sequences for positroids, J. Combin. Theory Ser. A 159 (2018), 164–182.
  • Ibrahim Assem, Ralf Schiffler, and Khrystyna Serhiyenko, Modules over cluster-tilted algebras that do not lie on local slices , Arch. Math. (Basel) 110 (2018), no. 1, 9–18.
  • Ralf Schiffler and Khrystyna Serhiyenko, Injective presentations of induced modules over cluster- tilted algebras, Algebr. Represent. Theory 21 (2018), no. 2, 447–470.
  • Ibrahim Assem, Ralf Schiffler, and Khrystyna Serhiyenko, Cluster-tilted and quasi-tilted algebras, J. Pure Appl. Algebra 221 (2017), no. 9, 2266–2288.
  • Ralf Schiffler and Khrystyna Serhiyenko, Induced and coinduced modules over cluster-tilted algebras, J. Algebra 472 (2017), 226–258.
  • Emily Cormier, Peter Dillery, Jill Resh, Khrystyna Serhiyenko, and John Whelan, Minimal length maximal green sequences and triangulations of polygons, J. Algebraic Combin. 44 (2016), no. 4, 905–930.
  • Dan Kelleher, Michael J. Ignatowich, Catherine E. Maloney, David J. Miller, Khrystyna Serhiyenko, Resistance scaling factor of the Pillow and Fractalina fractals, Fractals 23 (2015), no. 2, 1550018, 9 pp.